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Supplement means the two angles add to 180°. So that's one equation, and the other equation is that one angle is 20° than the other.
- Let A & B be the angles.
- A + B = 180
- A - B = 20
Add the two equations: 2A = 200, so A = 100, and then substitute in to get B = 80. So the angle 100° is 20° greater than its supplement.
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What is the measure of an angle if its measure is 40 degrees more than the measure of its supplement?
supplement + angle = 180180 - angle = supplementangle = supplement + 40 = 180 - angle +40 = 220-angle2 x angle = 220angle = 110 degrees
An angle is 30 degrees more than its supplement what is the measure of an angle and its supplement?
The angles are: 75 degrees and 105 degrees
What is the Measure of an angle if twice the measure of its supplement is thirty more than five times the measure of its supplement?
The supplement of an angle is (180) minus (the angle).Here we have an angle 'A', and we are told that: 2( 180 - A ) = 30 + 5( 180 - A ). We calculate:360 - 2A = 30 + 900 - 5A = 930 - 5A (clear parentheses)3A = 570 (Add 5A - 360 to both sides)A = 190 (Divide both sides by 3)Check:Its supplement is (180 - 190) = -102(-10) (?=?) 30 + 5(-10)-20 (?=?) 30 - 50-20 = -20 Yes !
The sum of an angle and three times its complement is 62 degree more than its supplement. Find the measure of the angle?
118 degrees is your answer... I am the type of person that just answers it without an explanation.
Half the measure of the angle is twenty-five more than one-third the measure of its supplement?
Suppose the angle is x degrees. Then its supplement is 180-x. One-third its supplement is (180-x)/3 = 60-x/3 so x/2 = 60-x/3+25 5x/6 = 85 ie x = 102.
